The expected value is 2.3 if the payout probability distribution is payout 0 2 4 8 10 probability 0.45 0.3 0.1 0.1 0.05.
According to the given question.
We have the payout probability distribution.
payout(s): 0 2 4 8 10
Probability: 0.45 0.3 0.1 0.1 0.05
Multiply payout to probability such that:
0×0.45 = 0
2 × 0.3 = 0.6
4 × 0.1 = 0.4
8 × 0.1 = 0.8
10 × 0.05 = 0.5
Therefore, the expected value of the winnings from a game with the given payout probability distribution is
= 0 + 0.6 + 0.4 + 0.8 + 0.5
=2.3
Thus, the expected value is 2.3 if the payout probability distribution is payout 0 2 4 8 10 probability 0.45 0.3 0.1 0.1 0.05.
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